Is 1104 a Prime Number?

There are two types of numbers, mostly — Prime numbers and composite numbers, depending on the number of factors. A prime number is a natural number that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself. A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number. Prime numbers follow a few properties like: - Prime numbers are positive numbers always greater than 1. - 2 is the only even prime number. - They have only two factors: 1 and the number itself. - Any two distinct prime numbers are co-prime numbers because they have only one common factor, which is 1. As 1104 has more than two factors, it is not a prime number.

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1104 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers. These methods include: - Counting Divisors Method - Divisibility Test - Prime Number Chart - Prime Factorization

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers. - If there is a total count of only 2 divisors, then the number would be prime. - If the count is more than 2, then the number is composite. Let’s check whether 1104 is prime or composite. Step 1: All numbers are divisible by 1 and itself. Step 2: Divide 1104 by 2. It is divisible by 2, so 2 is a factor of 1104. Step 3: Continue dividing 1104 by subsequent integers to find other factors. Step 4: You can simplify checking divisors up to 1104 by finding the square root value. We then need to only check divisors up to the square root value. Since 1104 has more than 2 divisors, it is a composite number.

We use a set of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method. - Divisibility by 2: The number in the ones' place value is 4. Since 4 is an even number, 1104 is divisible by 2. - Divisibility by 3: The sum of the digits in the number 1104 is 6. Since 6 is divisible by 3, 1104 is also divisible by 3. - Divisibility by 5: The unit’s place digit is not 0 or 5. Therefore, 1104 is not divisible by 5. - Divisibility by 7: Apply divisibility rules for 7, and check calculations accordingly. - Divisibility by 11: Apply divisibility rules for 11, and check calculations accordingly. Since 1104 is divisible by 2 and 3, it has more than two factors. Therefore, it is a composite number.

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps. Step 1: Write 1 to 1000 in rows and columns. Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite. Step 3: Mark 2 because it is a prime number and cross out all the multiples of 2. Step 4: Mark 3 because it is a prime number and cross out all the multiples of 3. Step 5: Repeat this process until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we will have a list of prime numbers. 1104 is not present in the list of prime numbers, so it is a composite number.

Prime factorization is a process of breaking down a number into prime factors. Then multiply those factors to obtain the original number. Step 1: We can write 1104 as 2 × 552. Step 2: In 2 × 552, 552 is a composite number. Further, break the 552 into 2 × 276. Step 3: Continue breaking down composite numbers until only prime numbers are left. Hence, the prime factorization of 1104 is 2 × 2 × 2 × 2 × 3 × 23.

Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 1104 is a composite number because it has multiple divisors like 1, 2, 3, etc. Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. For example, 3 is a prime number. Divisibility rules: Guidelines to determine if one number is divisible by another without performing actual division. Prime factorization: The process of expressing a number as a product of prime numbers. Sieve of Eratosthenes: An ancient algorithm used to find all prime numbers up to any given limit.